Question

Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?

Answer 1

48

Explanation:

Vertical angles are congruent

7x - 22 = 4x + 8 {Add 22 to both sides}

7x = 4x + 8 + 22

7x = 4x + 30 { subtract 4x from both sides}

7x - 4x = 30

3x = 30

x = 30/3

x = 10

4x + 8 = 4*10 + 8

= 40 + 8

= 48

7x - 22 = 7*10 - 22

= 70 - 22

= 48